Applications on the Bessel-Struve-type Fock space
Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 875-883
Published online October 31, 2017
Fethi Soltani
Jazan University
Abstract : In this work, we establish Heisenberg-type uncertainty principle for the Bessel-Struve Fock space $\mathbb{F}_{\nu}$ associated to the Airy operator $L_{\nu}$. Next, we give an application of the theory of extremal function and reproducing kernel of Hilbert space, to establish the extremal function associated to a bounded linear operator $T:\mathbb{F}_{\nu}\rightarrow H$, where $H$ be a Hilbert space. Furthermore, we come up with some results regarding the extremal functions, when $T$ are difference operators.
Keywords : Bessel-Struve-type Fock space, Heisenberg-type uncertainty principle, extremal functions
MSC numbers : 30H20, 32A15
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